Question

6.

m21 =
3
mZ2 =
470
m3 =
N
5
52
m24 =
mZ5 =


#6

Answer 1

9514 1404 393

Answer:

1. 128°
2. 52°
3. 47°
4. 133°
5. 81°

Explanation:

Alternate interior angles are congruent, so you know ...

∠2 = 52°

∠3 = 47°

The sum of angles in a triangle is 180°, so ...

∠5 = 180° -∠2 -∠3 = 180° -52° -47°

∠5 = 81°

Linear pairs are supplementary, so ...

∠1 = 180° -∠2 = 180° -52°

∠1 = 128°

∠4 = 180° -∠3 = 180° -47°

∠4 = 133°

_____

Alternate solution

To find angles 1 and 4, you could also make use of the fact that same-side interior angles are supplementary.